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Simplifying (-3x + 3)(2x + 1) = 0 Reorder the terms: (3 + -3x)(2x + 1) = 0 Reorder the terms: (3 + -3x)(1 + 2x) = 0 Multiply (3 + -3x) * (1 + 2x) (3(1 + 2x) + -3x * (1 + 2x)) = 0 ((1 * 3 + 2x * 3) + -3x * (1 + 2x)) = 0 ((3 + 6x) + -3x * (1 + 2x)) = 0 (3 + 6x + (1 * -3x + 2x * -3x)) = 0 (3 + 6x + (-3x + -6x2)) = 0 Combine like terms: 6x + -3x = 3x (3 + 3x + -6x2) = 0 Solving 3 + 3x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + x + -2x2) = 0 Factor a trinomial. 3((1 + -1x)(1 + 2x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {1, -0.5}
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